On Paracompactness and Almost Closed Mappings
Publications de l'Institut Mathématique, _N_S_55 (1994) no. 69, p. 98
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Some properties of paracompactness in spaces which are not
necessarily regular and some properties of almost closed mappings are
studied. It is shown that some properties of paracompactness of regular
spaces are hold even if the space is not necessarily regular. Beside
that, additional conditions are given for almost closed mappings to
have a closed graph.
Classification :
54C10 54D18
Keywords: paracompact, almost paracompact, $alpha$-paracompact, $alpha$-Hausdorff, $alpha$-regular, almost closed mapping, closed graph, $alpha$-nearly paracompact.
Keywords: paracompact, almost paracompact, $alpha$-paracompact, $alpha$-Hausdorff, $alpha$-regular, almost closed mapping, closed graph, $alpha$-nearly paracompact.
@article{PIM_1994_N_S_55_69_a11,
author = {Ilija Kova\v{c}evi\'c},
title = {On {Paracompactness} and {Almost} {Closed} {Mappings}},
journal = {Publications de l'Institut Math\'ematique},
pages = {98 },
publisher = {mathdoc},
volume = {_N_S_55},
number = {69},
year = {1994},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1994_N_S_55_69_a11/}
}
Ilija Kovačević. On Paracompactness and Almost Closed Mappings. Publications de l'Institut Mathématique, _N_S_55 (1994) no. 69, p. 98 . http://geodesic.mathdoc.fr/item/PIM_1994_N_S_55_69_a11/